Handout
Curated OER

Math Handbook: Calculus

For Students 10th - 12th
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
eBook
Old Dominion University

Introduction to Calculus

For Teachers 11th - Higher Ed Standards
This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...
Lesson Plan
West Contra Costa Unified School District

Derivative Theorems

For Teachers 11th - Higher Ed
Put all of the derivative rules into one basket. The lesson stars with warm-up exercises that provide a connection to previously learned concepts. The lesson plan uses the different derivative theorems to calculate a variety of...
Handout
West Contra Costa Unified School District

Using Derivatives to Graph Polynomials

For Teachers 11th - Higher Ed
You can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase...
eBook
Whitman College

Calculus - Early Transcendentals

For Teachers 9th - Higher Ed Standards
This textbook takes the learner from the basic definition of slope through derivatives, integrals, and vector multivariable calculus. Each section is composed primarily of examples, with theoretical introductions and explanations in...
eBook
Whitman College

Calculus

For Students 11th - Higher Ed Standards
Everything you wanted to know about calculus—and more! The resource is a complete Calculus textbook with explanations, examples, and practice problems. 
Handout
Chapman University

Proving the Chain Rule

For Teachers 10th - Higher Ed
Understanding how our calculus derivative formulas were derived, connects learners to the idea that the study of mathematics is continuous and cumulative. Learners will also develop a deeper appreciation for the short cuts used to find a...
Handout
Curated OER

Study Guide for the Advanced Placement Calculus AB Examination

For Teachers 11th - 12th Standards
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and...
AP Test Prep
1
1
Flipped Math

Calculus AB/BC Unit 5 Review: Analytical Applications of Differentiation

For Students 10th - 12th
Time to put it all together in one sheet—well five. Pupils review all the topics presented in the resources for Analytical Applications of Differentiation. The five pages summarize the concepts with explanations and examples.
Lesson Plan
West Contra Costa Unified School District

Particle Motion

For Teachers 11th - Higher Ed Standards
Derivatives are useful for many things — they can even keep track of particle motion. An informative lesson plan provides an introduction to the idea of the second derivative in particle motion. Class members determine the...
Lesson Plan
West Contra Costa Unified School District

Indefinite Integrals

For Teachers 11th - Higher Ed Standards
The inverse of matter is anti-matter, so the inverse of a derivative is an antiderivative. The lesson introduces antiderivatives and indefinite integrals to the class along with the notation for integrals. Groups work together to find...
Lesson Plan
West Contra Costa Unified School District

Law of Sines

For Teachers 10th - 12th Standards
One must obey the sine laws. A lesson plan introduces and derives the Law of Sines for non-right triangles. With examples that use the Law of Sines to determine unknown measures in triangles, the lesson plan checks to see...
Lesson Plan
West Contra Costa Unified School District

Interest and the Number e

For Teachers 10th - 12th Standards
Mary, Mary, quite continuously, how does your money grow? Uses examples to examine the difference between simple interest and compound interest, and to take a look at different rates of compounding. Learners explore what would...
Lesson Plan
West Contra Costa Unified School District

The Extreme Value Theorem

For Teachers 11th - Higher Ed
Finding the critical numbers of a function can be extreme. The lesson introduces the Extreme Value Theorem to the class with a graph. Pupils then have an opportunity to practice determining the values using an algebraic function.
Handout
Happy Maau Studios

Math Ref

For Students 7th - 12th
Forgot how to multiply matrices? Well, this app can help. It is like a gigantic, well-organized reference card for all things math. Customize your personal reference material by adding your own notes and build up a personalized list of...
Handout
Wolfram Research

Wolfram Math World: Fundamental Theorem of Calculus

For Students 9th - 10th
This MathWorld site offers an explanation of the fundamental theorem of calculus includes links to other relevant information.
Handout
Other

Matheno: How to Solve Optimization Problems in Calculus

For Students 10th - 12th
Need to solve Optimization problems in Calculus? This blog illustrates the steps needed to solve them routinely for yourself.
Handout
Other

Dans Math: Lessons: Calculus (Part 1)

For Students 9th - 10th
College professor Dan Bach reviews the basic calculus concepts of limits and derivatives. The site includes examples and animated graphs.
Handout
Paul Dawkins

Paul's Online Notes: Calculus Cheat Sheet [Pdf]

For Students 9th - 10th
The study sheet consists of formulas and examples on concepts discussed in a Calculus course. Topics included are limits, derivatives, integrals, and applications.
Handout
Math Open Reference

Math Open Reference: Fundamental Theorem of Calculus

For Students 9th - 10th
Learn about the fundamental theorem of calculus with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
Handout
Other

Sierra College: Table of Derivatives

For Students 9th - 10th Standards
This table of derivatives is a useful guide for homework or other studying.
Handout
University of California

University of California, Davis: The Calculus Page

For Students 9th - 10th Standards
This site, from the University of California, provides several problems from beginning differential calculus, as well as beginning integral calculus. The problems can be accessed by clicking on the link, and the information provided is...
Handout
Other

Maths First: The Sign of the Derivative

For Students 10th - 12th
Description and examples of points of inflection.
Handout
Wolfram Research

Wolfram Math World: Product Rule

For Students 9th - 10th
This MathWorld site explains the process of taking a derivative, in particlar the derivative of a product. The page begins by showing the concept of taking a derivative using mathematical notation, and breaking the result into component...